Jove
Visualize
联系我们
JoVE
x logofacebook logolinkedin logoyoutube logo
关于 JoVE
概览领导团队博客JoVE 帮助中心
作者
出版流程编辑委员会范围与政策同行评审常见问题投稿
图书馆员
用户评价订阅访问资源图书馆顾问委员会常见问题
研究
JoVE JournalMethods CollectionsJoVE Encyclopedia of Experiments存档
教育
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab Manual教师资源中心教师网站
使用条款与条件
隐私政策
政策

相关概念视频

Navier–Stokes Equations01:28

Navier–Stokes Equations

606
For incompressible Newtonian fluids, where density remains constant, stresses show a linear relationship with the deformation rate, defined by normal and shear stresses. Normal stresses depend on the pressure exerted on the fluid and the rate of deformation in specific directions, which determines how fluid flows under varying pressures. Shear stresses, on the other hand, act tangentially across fluid layers. They explain how adjacent fluid layers slide relative to one another, connecting...
606
Newtonian Fluid: Problem Solving01:18

Newtonian Fluid: Problem Solving

280
Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a predictable and stable response to applied forces, maintaining a linear relationship between force and flow. Examples include water, air, and light oils, consistently demonstrating this proportional behavior regardless of external conditions.
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
280
Euler Equations of Motion01:19

Euler Equations of Motion

258
Imagine a rigid body that is rotating at an angular velocity of ω within an inertial frame of reference. Along with this, picture a second rotating frame that is attached to the body itself. This frame moves along with the body and possesses an angular velocity of Ω. The total moment about the center of mass is calculated by adding the rate of change of angular momentum about the center of mass in relation to the rotating frame and the cross-product of the body's angular velocity...
258
Central-Force Motion01:17

Central-Force Motion

294
The central force system operates by exerting a force on an object directed towards a fixed point, typically the origin, with the force magnitude determined by the object's distance from this fixed point. In the context of an object with mass 'm,' polar coordinates are employed to express the equation of motion. Notably, the azimuthal component of force is nonexistent in this system. A comprehensive rewrite and integration of this equation reveal that the product of the squared...
294
Bernoulli's Equation: Problem Solving01:16

Bernoulli's Equation: Problem Solving

1.4K
A Venturi meter is essential for measuring fluid flow rates in pipelines. It utilizes the relationship between fluid velocity and pressure described by Bernoulli's equation. When installed in a sewage system, the Venturi meter accurately determines the wastewater flow rate by measuring pressure differences.
The first step is to compute the cross-sectional areas of the pipe and the Venturi throat to analyze the pressure difference indicated by the pressure gauge. Next, the continuity...
1.4K
Divergence and Stokes' Theorems01:06

Divergence and Stokes' Theorems

1.7K
The divergence and Stokes' theorems are a variation of Green's theorem in a higher dimension. They are also a generalization of the fundamental theorem of calculus. The divergence theorem and Stokes' theorem are in a way similar to each other; The divergence theorem relates to the dot product of a vector, while Stokes' theorem relates to the curl of a vector. Many applications in physics and engineering make use of the divergence and Stokes' theorems, enabling us to write...
1.7K

您也可能阅读

相关文章

通过共同作者、期刊和引用图与本文相关的文章。

排序
Same author

Crop water productivity assessment and planting structure optimization in typical arid irrigation district using dynamic Bayesian network.

Scientific reports·2024
Same author

Automatedly identify dryland threatened species at large scale by using deep learning.

The Science of the total environment·2024
Same author

Modified Characteristic Finite Element Method with Second-Order Spatial Accuracy for Solving Convection-Dominated Problem on Surfaces.

Entropy (Basel, Switzerland)·2023
Same author

Thriving arid oasis urban agglomerations: Optimizing ecosystem services pattern under future climate change scenarios using dynamic Bayesian network.

Journal of environmental management·2023
Same author

Multi-Object Pedestrian Tracking Using Improved YOLOv8 and OC-SORT.

Sensors (Basel, Switzerland)·2023
Same author

Solving the Incompressible Surface Stokes Equation by Standard Velocity-Correction Projection Methods.

Entropy (Basel, Switzerland)·2023

相关实验视频

Updated: Jul 29, 2025

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression
13:07

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression

Published on: January 15, 2022

4.0K

基于Oseen代的有限差异方法,用于解决二维Navier-Stokes方程.

Liru Mu1, Xinlong Feng1

  • 1College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China.

Entropy (Basel, Switzerland)
|May 27, 2023
PubMed
概括
此摘要是机器生成的。

这项研究引入了一种用于解决复杂流体流量问题的新型数值方法. 带有Oseen代的辐射基础函数有限差异方法为纳维埃-斯托克斯方程提供了简化和准确的方法.

关键词:
纳维尔斯托克斯方程看到了代的代.一个多项式的多项式.射线基础函数 有限差异方法.

更多相关视频

Analysis and Imaging of Osteocytes
10:19

Analysis and Imaging of Osteocytes

Published on: November 29, 2024

787
Particle Image Velocimetry Investigation of Hemodynamics via Aortic Phantom
06:26

Particle Image Velocimetry Investigation of Hemodynamics via Aortic Phantom

Published on: February 25, 2022

4.4K

相关实验视频

Last Updated: Jul 29, 2025

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression
13:07

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression

Published on: January 15, 2022

4.0K
Analysis and Imaging of Osteocytes
10:19

Analysis and Imaging of Osteocytes

Published on: November 29, 2024

787
Particle Image Velocimetry Investigation of Hemodynamics via Aortic Phantom
06:26

Particle Image Velocimetry Investigation of Hemodynamics via Aortic Phantom

Published on: February 25, 2022

4.4K

科学领域:

  • 计算流体动力学的流体动力学.
  • 数字分析 数字分析
  • 流体力学 流体力学 流体力学

背景情况:

  • 纳维埃-斯托克斯方程是流体动力学的基础,但由于它们的非线性性质,很难在数值上解决.
  • 现有的数值方法通常涉及复杂的矩阵运算,增加计算成本.
  • 需要有效和准确的方法来模拟不可压缩的流体流.

研究的目的:

  • 开发和验证一种新的数值方法来解决二维稳定不可压缩的纳维埃-斯托克斯方程.
  • 通过在非线性代过程中最大限度地减少矩阵重新计算来提高计算效率.
  • 为了实现流体流量问题的高精度数值解决方案.

主要方法:

  • 空间运算符的分离,使用射线基础函数和多项式基础函数的有限差异方法.
  • 应用Oseen代方案来处理纳维尔-斯托克斯方程中的非线性项.
  • 构建一个离散方案,结合半径基函数有限差和Oseen代.

主要成果:

  • 拟议的方法通过避免在每个非线性代中完全重组矩阵来简化计算过程.
  • 获得了高精度的数值解决方案,证明了方法的有效性.
  • 数字示例证实了光线基函数有限差法与Oseen代的收性和准确性.

结论:

  • 射线基函数有限差方法,与Oseen代集成,为解决二维稳定不可压缩的纳维埃-斯托克斯方程提供了一种高效和准确的技术.
  • 与传统方法相比,这种方法在计算简单性方面具有显著的优势.
  • 经验证的有效性表明,在计算流体动力学研究和工程中具有广泛的适用性.